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Absense of dissipative solutions of the Schrödinger and Klein-Gordon equations with logarithmic nonlinearity

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Fernández-Rañada, Antonio and Brito, Ricardo and Cuesta, José Antonio (1988) Absense of dissipative solutions of the Schrödinger and Klein-Gordon equations with logarithmic nonlinearity. Physics Letters A, 128 (06-jul). pp. 360-366. ISSN 0375-9601

Official URL: http://dx.doi.org/10.1016/0375-9601(88)90191-0


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Abstract

It is shown that the Schrödinger equation nor the Klein-Gordon one with logarithmic nonlinearities have dissipative solutions. In the case of one-dimensional space, numerical experiments with different Cauchy data, in the nonrelativistic case, lead always to final states consisting only in oscillating gaussons.


Item Type:Article
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© 1988 Published by Elsevier BV. We are grateful to Professor A. Alvarez and Professor L. Vazquez for discussions. This work has been partially supported by Dirección General de Investigación Científica y Técnica, under grant PB86-0005.

Subjects:Sciences > Physics > Electricity
Sciences > Physics > Electronics
Sciences > Physics > Thermodynamics
ID Code:25239
Deposited On:06 May 2014 09:11
Last Modified:10 Dec 2018 14:58

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